The perimeter of rectangular park is 450m.the length of the sides is in the ratio 3:2.find the area of the rectangle

Respuesta :

Answer:  12,150 m²

Step-by-step explanation:

The ratio is 3:2 which means

Length (L) = 3x

Width (w) = 2x

Perimeter (P) = 2L + 2w

              450 = 2(3x) + 2(2x)

              450 = 6x + 4x

              450 = 10x

                45 = x

                                      L = 3x                w = 2x

                                         = 3(45)               = 2(45)

                                         = 135                  = 90

Area (A) = L × w

              = 135 × 90

              = 12,150